Cremona's table of elliptic curves

120540 = 2² · 3 · 5 · 7² · 41

Class	r	Atkin-Lehner	Eigenvalues
120540a (1 curve)	0	2- 3+ 5+ 7+ 41+	2- 3+ 5+ 7+  0 -3 -5  0
Curve Equation t 120540a1 [0,-1,0,-160981,24821665] 1
120540b (1 curve)	2	2- 3+ 5+ 7+ 41+	2- 3+ 5+ 7+ -2  1 -3  0
Curve Equation t Generators 120540b1 [0,-1,0,-261,225] 1 [-16:7:1]&[-9:42:1]
120540c (1 curve)	1	2- 3+ 5+ 7+ 41-	2- 3+ 5+ 7+ -4 -3  4 -2
Curve Equation t Generators 120540c1 [0,-1,0,-3376606,2541759781] 1 [-225:57359:1]
120540d (1 curve)	1	2- 3+ 5+ 7- 41+	2- 3+ 5+ 7-  2 -1  7  2
Curve Equation t Generators 120540d1 [0,-1,0,-26301,1143801] 1 [-390:12153:8]
120540e (2 curves)	2	2- 3+ 5+ 7- 41-	2- 3+ 5+ 7-  0  0 -2 -2
Curve Equation t Generators 120540e1 [0,-1,0,-541,-2834] 2 [-19:15:1]&[-15:41:1] 120540e2 [0,-1,0,-7716,-258264] 2 [-50:6:1]&[238:3366:1]
120540f (1 curve)	0	2- 3+ 5+ 7- 41-	2- 3+ 5+ 7-  0 -1 -2 -2
Curve Equation t 120540f1 [0,-1,0,-2186,57261] 1
120540g (2 curves)	0	2- 3+ 5+ 7- 41-	2- 3+ 5+ 7- -2 -6  2 -2
Curve Equation t 120540g1 [0,-1,0,-3201,-68130] 2 120540g2 [0,-1,0,-996,-162504] 2
120540h (1 curve)	0	2- 3+ 5+ 7- 41-	2- 3+ 5+ 7-  3  4 -3 -2
Curve Equation t 120540h1 [0,-1,0,-91669461,337852318161] 1
120540i (2 curves)	0	2- 3+ 5+ 7- 41-	2- 3+ 5+ 7- -3  4  3 -2
Curve Equation t 120540i1 [0,-1,0,29139,-7454439] 1 120540i2 [0,-1,0,-264861,212575161] 1
120540j (4 curves)	0	2- 3+ 5+ 7- 41-	2- 3+ 5+ 7-  6 -2  6 -2
Curve Equation t 120540j1 [0,-1,0,-71801,6579210] 2 120540j2 [0,-1,0,106804,33941496] 2 120540j3 [0,-1,0,-5628401,5141433270] 2 120540j4 [0,-1,0,-5626196,5145660696] 2
120540k (2 curves)	0	2- 3+ 5+ 7- 41-	2- 3+ 5+ 7-  6 -4 -2 -2
Curve Equation t 120540k1 [0,-1,0,-63274941,-191669754870] 2 120540k2 [0,-1,0,-11794316,-494561160120] 2
120540l (1 curve)	0	2- 3+ 5- 7+ 41-	2- 3+ 5- 7+  2  3  7 -2
Curve Equation t 120540l1 [0,-1,0,-14765,220137] 1
120540m (2 curves)	0	2- 3+ 5- 7- 41+	2- 3+ 5- 7-  0 -5  6 -2
Curve Equation t 120540m1 [0,-1,0,551430,-189915543] 1 120540m2 [0,-1,0,-5355030,7877127525] 1
120540n (1 curve)	2	2- 3+ 5- 7- 41+	2- 3+ 5- 7- -2 -2  2 -7
Curve Equation t Generators 120540n1 [0,-1,0,355,-45975] 1 [35:90:1]&[40:175:1]
120540o (2 curves)	0	2- 3+ 5- 7- 41+	2- 3+ 5- 7- -4  0  0 -4
Curve Equation t 120540o1 [0,-1,0,-58865,5514342] 2 120540o2 [0,-1,0,-48820,7447000] 2
120540p (1 curve)	2	2- 3+ 5- 7- 41+	2- 3+ 5- 7- -4 -1 -5 -4
Curve Equation t Generators 120540p1 [0,-1,0,-5805,164025] 1 [135:1350:1]&[-40:575:1]
120540q (2 curves)	1	2- 3+ 5- 7- 41-	2- 3+ 5- 7-  0  2 -2  4
Curve Equation t Generators 120540q1 [0,-1,0,-83365,9291850] 2 [-30:3430:1] 120540q2 [0,-1,0,-78220,10483432] 2 [489:9430:1]
120540r (2 curves)	1	2- 3+ 5- 7- 41-	2- 3+ 5- 7-  0 -2 -6  4
Curve Equation t Generators 120540r1 [0,-1,0,-3005,61230] 2 [-23:343:1] 120540r2 [0,-1,0,2140,244392] 2 [-2:490:1]
120540s (1 curve)	1	2- 3+ 5- 7- 41-	2- 3+ 5- 7-  0  3  3  2
Curve Equation t Generators 120540s1 [0,-1,0,-205,1177] 1 [7:6:1]
120540t (4 curves)	1	2- 3+ 5- 7- 41-	2- 3+ 5- 7-  0  4 -6 -8
Curve Equation t Generators 120540t1 [0,-1,0,-3780905,-2828448678] 2 [808036:89642315:64] 120540t2 [0,-1,0,-3770860,-2844235400] 2 [50265:11260690:1] 120540t3 [0,-1,0,-4233665,-2108218650] 2 [-1190:35260:1] 120540t4 [0,-1,0,12651980,-14745435368] 2 [2049:140630:1]
120540u (2 curves)	1	2- 3+ 5- 7- 41-	2- 3+ 5- 7-  0 -4  6  0
Curve Equation t Generators 120540u1 [0,-1,0,-17363705,27854923650] 2 [2365:3485:1] 120540u2 [0,-1,0,-17353660,27888751192] 2 [1314:85750:1]
120540v (2 curves)	1	2- 3+ 5- 7- 41-	2- 3+ 5- 7-  0  7  3 -2
Curve Equation t Generators 120540v1 [0,-1,0,-3176151645,-18192392122743] 1 [-47892805998:2126149294725:8242408] 120540v2 [0,-1,0,-150623866605,22499913752102025] 1 [1785930:249075:8]
120540w (1 curve)	1	2- 3- 5+ 7+ 41+	2- 3- 5+ 7+  0 -3 -3 -2
Curve Equation t Generators 120540w1 [0,1,0,-10061,-383601] 1 [-59:90:1]
120540x (2 curves)	1	2- 3- 5+ 7+ 41+	2- 3- 5+ 7+  0 -7 -3  2
Curve Equation t Generators 120540x1 [0,1,0,-64819421,53020524255] 3 [-7670:314685:1] 120540x2 [0,1,0,-3073956461,-65598294460161] 1 [-42626914:48416535:1331]
120540y (2 curves)	0	2- 3- 5+ 7+ 41-	2- 3- 5+ 7+  0  5 -6  2
Curve Equation t 120540y1 [0,1,0,11254,556905] 3 120540y2 [0,1,0,-109286,-22996611] 1
120540z (1 curve)	0	2- 3- 5+ 7+ 41-	2- 3- 5+ 7+ -4  1  5  4
Curve Equation t 120540z1 [0,1,0,-284461,-55691665] 1
120540ba (1 curve)	0	2- 3- 5+ 7- 41+	2- 3- 5+ 7-  2 -3 -7  2
Curve Equation t 120540ba1 [0,1,0,-723501,-74060001] 1
120540bb (1 curve)	0	2- 3- 5+ 7- 41+	2- 3- 5+ 7-  3  0  5  6
Curve Equation t 120540bb1 [0,1,0,-971883901,11669157183599] 1
120540bc (2 curves)	1	2- 3- 5+ 7- 41-	2- 3- 5+ 7-  0  2  4 -4
Curve Equation t Generators 120540bc1 [0,1,0,-13981,-640900] 2 [11524:105399:64] 120540bc2 [0,1,0,-12756,-756540] 2 [219:2646:1]
120540bd (2 curves)	1	2- 3- 5+ 7- 41-	2- 3- 5+ 7-  2  0 -6  2
Curve Equation t Generators 120540bd1 [0,1,0,-525541,141252320] 2 [5791805864:411713633499:1124864] 120540bd2 [0,1,0,240084,519164820] 2 [-1369797:24807132:2197]
120540be (1 curve)	1	2- 3- 5+ 7- 41-	2- 3- 5+ 7- -2  2 -2  7
Curve Equation t Generators 120540be1 [0,1,0,17379,15734655] 1 [261:6174:1]
120540bf (2 curves)	1	2- 3- 5+ 7- 41-	2- 3- 5+ 7- -4  2  0  0
Curve Equation t Generators 120540bf1 [0,1,0,-12021,441804] 2 [485:10437:1] 120540bf2 [0,1,0,18604,2352804] 2 [-68:882:1]
120540bg (1 curve)	0	2- 3- 5- 7+ 41+	2- 3- 5- 7+  0  1  2  2
Curve Equation t 120540bg1 [0,1,0,-107130,-19426275] 1
120540bh (1 curve)	1	2- 3- 5- 7+ 41-	2- 3- 5- 7+  2  1 -7 -2
Curve Equation t Generators 120540bh1 [0,1,0,-1288765,-389746225] 1 [-430:9225:1]
120540bi (2 curves)	1	2- 3- 5- 7- 41+	2- 3- 5- 7-  0  0  2  2
Curve Equation t Generators 120540bi1 [0,1,0,-26525,1025100] 2 [25:615:1] 120540bi2 [0,1,0,-378100,89340740] 2 [368:414:1]
120540bj (2 curves)	1	2- 3- 5- 7- 41+	2- 3- 5- 7- -2  4  2  6
Curve Equation t Generators 120540bj1 [0,1,0,-1224085,495645800] 2 [47588:10378494:1] 120540bj2 [0,1,0,835140,1996408980] 2 [-957:17934:1]
120540bk (1 curve)	1	2- 3- 5- 7- 41+	2- 3- 5- 7- -4  0  2 -1
Curve Equation t Generators 120540bk1 [0,1,0,285115,-142737225] 1 [8290:756315:1]
120540bl (1 curve)	1	2- 3- 5- 7- 41+	2- 3- 5- 7- -4  3 -4  2
Curve Equation t Generators 120540bl1 [0,1,0,-68910,-7430067] 1 [321:1905:1]
120540bm (2 curves)	1	2- 3- 5- 7- 41+	2- 3- 5- 7- -4 -4  4  4
Curve Equation t Generators 120540bm1 [0,1,0,-17705,896328] 2 [31:615:1] 120540bm2 [0,1,0,-7660,1916900] 2 [380:7350:1]
120540bn (2 curves)	0	2- 3- 5- 7- 41-	2- 3- 5- 7-  0  0  2  0
Curve Equation t 120540bn1 [0,1,0,-7905,260700] 2 120540bn2 [0,1,0,2140,887508] 2
120540bo (1 curve)	0	2- 3- 5- 7- 41-	2- 3- 5- 7-  0  3  5  0
Curve Equation t 120540bo1 [0,1,0,-3285,-73305] 1
120540bp (1 curve)	0	2- 3- 5- 7- 41-	2- 3- 5- 7- -2 -1  3  0
Curve Equation t 120540bp1 [0,1,0,-12805,-51577] 1

Data from Elliptic Curve Data by J. E. Cremona.
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